The title is a play on the phrase "stark naked."
The Drunk Stork is delivering babies, and at every stop he celebrates with a drink with the parents. Meanwhile at Daffy's house, his wife Daphne is knitting a tiny sweater. He gets angry and vows to give the stork a reception he won't forget. He sets up anti-aircraft guns on the roof, bear traps in the bushes, a trampoline in the fireplace, a guillotine in the doorway, and alligators in the basement. The stork tries to deliver him an egg, and somehow evades all of the traps as Daffy falls into them. Legs pop out of the egg, so the stork lets it wander into Daffy's house, and he leaves. When the egg hatches, it looks just like the stork, so Daffy flies it back to him, happy to finally give him a dose of his own medicine.
- The stork's first stop is the apartment of Mr. & Mrs. Pierce. This is a reference to longtime Termite Terrace veteran writer Tedd Pierce.
- Unlike most cartoons featuring The Drunk Stork, the stork starts out sober and gets increasingly drunk with every delivery due to the parents wanting to celebrate with alcohol.
- This short was included in The Bugs Bunny Mother's Day Special.
- Though Daffy is depicted as a greedy, selfish, neurotic, sarcastic, immature, and spotlight-hungry antihero in the 1950s to the early-1960s since 1951's Rabbit Fire, Daffy is depicted as nastier and more bitter in this short, upsetting his wife when he tells her he doesn't want a baby and going to great lengths to keep the stork away, even if it means using dangerous booby-traps. However, Daffy at least retains some good nature in this short with his wife, Daphne.
- This is one of the only two cartoons from the "classic" (pre-1965) era where Daffy is depicted as nastier than he is usually depicted in the "classic" (pre-1965) era. The other one is "The Iceman Ducketh" (1964), the final pairing of Bugs Bunny and Daffy Duck from the "classic" era, which Daffy portrayed the antagonist role.
- Interestingly, Daffy's extremely unlikable side from this cartoon would be exaggerated a decade later during the DePatie-Freleng and the W-7 eras when Daffy became an antagonist to Speedy Gonzales.